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Finding the Fourth Proportional to 272,290.92, 408,436.56 and 85,317

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Solution

The fourth proportional to 272,290.92, 408,436.56 and 85,317 is: 127,975.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,290.92 : 408,436.56 = 85,317 : x
  2. Step 2: Convert to fraction form
    272,290.92/408,436.56 = 85,317/x
  3. Step 3: Cross multiply
    272,290.92x = 408,436.56 × 85,317
  4. Step 4: Simplify right side
    272,290.92x = 34,846,581,989.52
  5. Step 5: Solve for x
    x = 34,846,581,989.52/272,290.92
  6. Step 6: Final answer
    x = 127,975.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.